Recurrence times in quasi-periodic motion: Statistical properties, role of cell size, parameter dependence
type: Item
instance of: scholarly article
title: Recurrence times in quasi-periodic motion: Statistical properties, role of cell size, parameter dependence
zbMATH Open document ID: 0949.37006
author: M. Theunissen
author: C. Nicolis
author: Gregoire Nicolis
published in: Journal of Statistical Physics
publication date: 2000-12-10T00:00:00Z
review text: Some results on recurrence times in quasi-periodic motion and their generalization to the \(n\)-dimensional case are reformulated and rederived in a simple manner combining geometry and number-theoretic arguments. The case of recurrence in uniform quasi-periodic motion is considered. Using an alternative, more physically-oriented method the results of Lohöfer and Mayer are rederived. The dependence of recurrence times on the cell size and the intrinsic parameters is analyzed by extensive numerical investigation. The results are extended to high-dimensional tori.
Mathematics Subject Classification ID: 37C55
Mathematics Subject Classification ID: 37E10
Mathematics Subject Classification ID: 37A60
zbMATH DE Number: 1370577
zbMATH Keywords: recurrence times
zbMATH Keywords: quasi-periodic motion
zbMATH Keywords: circle map
zbMATH Keywords: Farey tree
zbMATH Keywords: Denjoy's theorem
zbMATH Keywords: diophantine approximation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1370577